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Display information for equation id:math.1626.27 on revision:1626
* Page found: Operatoren im Hilbertraum (eq math.1626.27)
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Hash: e9c1f35d623e0caf0c1cd6e666ef33ef
TeX (original user input):
\int_{-\infty }^{\infty }{dx}\phi {{*}_{m}}(x){{\phi }_{n}}(x)=\int_{-\infty }^{\infty }{dx}\left\langle m | x \right\rangle \left\langle x | n \right\rangle =\left\langle m | n \right\rangle ={{\delta }_{mn}}
TeX (checked):
\int _{-\infty }^{\infty }{dx}\phi {{*}_{m}}(x){{\phi }_{n}}(x)=\int _{-\infty }^{\infty }{dx}\left\langle m|x\right\rangle \left\langle x|n\right\rangle =\left\langle m|n\right\rangle ={{\delta }_{mn}}
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<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mstyle displaystyle="true" scriptlevel="0"><munderover><mo texclass="OP">∫</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo>−</mo><mi mathvariant="normal">∞</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">∞</mi></mrow></munderover></mstyle><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>x</mi></mrow><mi>ϕ</mi><msub><mo>*</mo><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><mo>=</mo><mstyle displaystyle="true" scriptlevel="0"><munderover><mo texclass="OP">∫</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo>−</mo><mi mathvariant="normal">∞</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">∞</mi></mrow></munderover></mstyle><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>x</mi></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">⟨</mo><mi>m</mi><mo>|</mo><mi>x</mi><mo data-mjx-texclass="CLOSE">⟩</mo></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">⟨</mo><mi>x</mi><mo>|</mo><mi>n</mi><mo data-mjx-texclass="CLOSE">⟩</mo></mrow><mo>=</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">⟨</mo><mi>m</mi><mo>|</mo><mi>n</mi><mo data-mjx-texclass="CLOSE">⟩</mo></mrow><mo>=</mo><msub><mi>δ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>n</mi></mrow></mrow></msub></mstyle></mrow></math>
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